J Austral Math Soc Ser A 52 pp11--25, 1992.

Continuous Selection Theorem, Coincidence Theorem and Intersection Theorems Concerning Sets with H-Convex Sections

Xie-Ping Ding

Abstract

A continuous selection and a coincidence theorem are proved in H-spaces which generalize the corresponding results of Ben-El-Mechaiekh-Deguire-Granas, Bowder, Ko-Tan, Lassonde, Park, Simon and Takahashi to noncompact and/or nonconvex settings. By applying the two theorems, some intersection theorems concerning sets with H-convex sections are obtained which generalize the corresponding results of Fan, Lassonde and Shih-Tan to H-spaces. Some applications to minimax pronciple are given.

1991 AMS Subject Classification: 54C65, 54H25, 52A07

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Authors

Xie-Ping Ding

Sichuan Normal University Chengdu, Sichuan People's Republic of China.